OFFSET
0,8
COMMENTS
The antidiagonal representation of the first order Eulerian numbers (A173018).
EXAMPLE
Triangle starts:
[ 0] [1]
[ 1] [1]
[ 2] [1, 0]
[ 3] [1, 1]
[ 4] [1, 4, 0]
[ 5] [1, 11, 1]
[ 6] [1, 26, 11, 0]
[ 7] [1, 57, 66, 1]
[ 8] [1, 120, 302, 26, 0]
[ 9] [1, 247, 1191, 302, 1]
[10] [1, 502, 4293, 2416, 57, 0]
[11] [1, 1013, 14608, 15619, 1191, 1]
MAPLE
T := (n, k) -> combinat:-eulerian1(n - k, k):
seq(print(seq(T(n, k), k=0..n/2)), n = 0..11);
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Peter Luschny, May 17 2021
STATUS
approved